## The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |

### From inside the book

Results 1-5 of 32

Page 13

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**positions**of A and B from O be represent- ed by a and u respectively , and let the re- lation between x and u be expressed by the equation u = b + ax " , any · ( 1 ) in which a and b are constants . When n = 1 , B will move uniformly ... Page 56

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**position**of the common plane of the orbits of the satellites of Uranus with reference to the ecliptic is given by the following inclination and longitude of ascending node i = 97 ° .850 ° .013 T , 0165 ° .48 + 1 ° .40 T. And a denoting ... Page 58

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**position**of four circles b , c , b1 , c1 of given magnitude , that touch each other consecutively , so that a circle ...**positions**of the two places of observation y and m , with reference to three known points A , B and C , having ... Page 61

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**position**, = DCG angle between line of centres and vertical at time t , 01 , 02 = angular rotations of R and r about centres , a initial value of 0 , F = magnitude and direction of the resultant of the reaction between the spheres at ... Page 62

... 1st : Because it may easily be shown , from a different course of reasoning , that , in certain

... 1st : Because it may easily be shown , from a different course of reasoning , that , in certain

**positions**, the spheres will roll in opposite directions ; SOLUTIONS OF PROBLEMS IN NUMBER ONE . SOLUTIONS of problems -62-### Other editions - View all

### Common terms and phrases

5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero